the mass of the moon

Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

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Answer:

[tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Step-by-step explanation:

The distance light travels in one year is known as a light year.

[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]

The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]

[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Answer:

No

Step-by-step explanation:

The 4.5 cups of peanuts should be 4

Answer:

The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.

So y==7x+3 has the steepest (greatest value)  slope

Step-by-step explanation:

The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

The formula for finding the equation of a line is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

The line that will be the steepest must have the largest slope.

Looking at the equation y = 7x +3

Get the slope by comparing to have;

mx = 7x

m = 7

Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

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Answer: I can help with number 10, and that answer is 105*

Step-by-step explanation: 10's x is paralell to the known angle, so the answer for x is equal to the known angle.

Answer:

Step-by-step explanation:

For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.

Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

x = 1

Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero

For A(x)=3x^3+2x^2-x

A(1) = 3(1)^3+2(1)^2-(1)

A(1) = 3+2-(1)

A(1) = 5-1

A(1) = 4

Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

For B(x)=5x^3-4x^2-x

B(1)=5(1)^3-4(1)^2-1

B(1)=5-4-1

B(1)=1-1 = 0

Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x

For the polynomial  C(x)= 2x^3-3x^2+2x-1

C(1)=2(1)^3-3(1)^2+2(1)-1

C(1)=2-3+2-1

C(1)= -1+1

C(1)= 0

Since C(1) = 0, hence x-1 is divisible by the

For the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

Answer:

B(x) and C(x)

Step-by-step explanation:

Answer:

Points B and C

Step-by-step explanation:

Based on the information provided I have made a visual representation of the number line in the attached picture. Each of these points has a numerical value associated with it. Which would be the following ...

Therefore based on the numerical value of these points the two that are opposites are point B and C. They both have a value of 0.5 on each end of the number line, one being negative while the other is a positive, thus opposites.

Answer:

Sample Response: Change the improper fraction to the mixed number 21

2

. There are two complete wholes and a half left over. Plot 21

2

on the number line halfway between 2 and 3, or Point D.

Step-by-step explanation:

XY< 10

if you get too confused whether the x is a variable or a sign, use the * .

Answer:

84°

Step-by-step explanation:

I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.

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[tex](6x + 13) + (3x - 4) = 180[/tex]

[tex]9x + 9 = 180[/tex]

Subtract sides 9

[tex]9x + 9 - 9 = 180 - 9[/tex]

[tex]9x = 171[/tex]

Divide sides by 9

[tex] \frac{9}{9} x = \frac{171}{9} \\ [/tex]

[tex]x = 19[/tex]

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Answer:

no entiendo la version de esa mathematica

Step-by-step explanation:

Answer:

i think it is 26.

Step-by-step explanation:

180-134=46

180-160=20 so

ABC (46)- XYZ (20)=26.

Answer:

11.29 left

Step-by-step explanation:

30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29

Answer:

He would have $11. 29 left

Step-by-step explanation:

30-5 =25

25. 00-6.50 = 18.50

18. 50-7.21 = 11.29

Answer:

2√5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

10x2=20

20x2=40

Answer:

B: A reflection across line m

Step-by-step explanation:

Answer:

A reflection across line m

Step-by-step explanation:

The answer above is correct.

Answer:

4

Step-by-step explanation:

Answer:

The slope of the line is y = -3x+4.

Answer:

4:15, 4:3, 1:5

Step-by-step explanation:

Part A:

There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.

4:15

Part B:

As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.

4:3

Part C:

There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.

3:15 = 3/3:15/3 = 1:5

Hope this helps.

Answer:

rearrange the formula A=lw and make the width the subject of the formula

therefore to find width, the formula is w=A/l

Width = Area/Length

What is the Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.

Area of rectangle = Length x Breadth(or width)

A = L*W

Given,

Length = L = 5

Width = W

Let Area = A

according to the formula of rectangle,

A = L*W

If Area and length is given,

W = A/L

Width = Area/Length = Area/5

Therefore, the equation is Width = Area/Length

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Answer:

8 in each row

Step-by-step explanation:

Answer:

Because it helps children and other people understand how the number system works. if you develop number sense you will have a range of different maths strategies like addition subtraction

Answer:

This is a linear equation in slope-intercept form.

Answer:

17

Step-by-step explanation:

3(2)^2 - 5(-1)^3

3(4) - 5(-1)

12 + 5

17

Answer: X=2

Step-by-step explanation:

3x-10=-9x+14

+9x +9x

12x-10=14

+10 +10

12x=24

24/12=2

So X=2

Answer:

x=2

Step-by-step explanation:

add 10 to both sides

simplify

add 9x to both sides

simplify 3x+9x to 12x

divide both sides by 12

x=2

Answer:

[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]

[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]

[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]

[tex]9 = \frac{h}{10} [/tex]

h=90

The height of the cylinder B is 30 cm.

Given that:

Both cylinders A and B are similar. Similarity applies proportionate size which means we have

height of cylinder A : radius of cylinder A ::  height of cylinder B: radius of cylinder B

or symbolically we have:

[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]

or we can say we have:

[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]                    

Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]

Thus from the formula of surface area of cylinder , we have below equation for cylinder A:

[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]

Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:

[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]

Thus height of the cylinder B is 30 cm.

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Answer:A

Step-by-step explanation:

30=8+4(z-2)

Distribute 4 through the parentheses

30=8+4z-8

Eliminate the opposites

30=4z

Swap the sides of the equation

4z=30

Divide both sides of the equation by 4

4z÷4=30÷4

Any expression divided by itself equals 1

z=30÷4

or write the division as a fraction

z=30/4

copy the numerator and denominator of the fraction

30=2x3x5

4=2x2

Write the prime factorization of 30

Write the prime factorization of 4

30=2          x3x5

4=2x2

    2

Line up the common factors in both lists

Copy the common factors

Since there is only one common factor, the common factor 2 is also the greatest common factor

30÷2/4÷2

  2

Divide 30 and 4 by the greatest common factor 2

15/4÷2

Divide the numbers in the numerator

15/2

Divide the numbers in the denominator

15/2

The simplified expression is 15/2

That's it. hope it wasn't too hard to understand?

Answer:

0.66 or 0.67 rounded

Step-by-step explanation:

2/3=

0.66

Answer:

0.6 or 0.666666666666666666666

Answer:

c

Step-by-step explanation:

Answer:

There would be 500 pages.